The Chief Justice instructed the report to be submitted within two days, with a hearing on the matter scheduled for the following Wednesday.
The Congress leader had said it was an "extraordinarily striking metaphor".
The State government has also moved the top court against the High Court judgement.
The Top Court strongly objected to the Delhi High Court rejecting Kavitha's plea on the grounds that she is an educated woman.
The Supreme Court has taken suo motu cognisance of the RG Kar incident, and appealed to the country's medical fraternity to return to duty.
The bench asked both Punjab and Haryana governments to keep engaging with protesting farmers and persuade them to remove their tractors and trollies from the highway.
The 10 member task force will submit its interim report within three weeks and the final report within two months.
A bench of Chief Justice of Supreme Court DY Chandrachud and Justices JB Pardiwala and Manoj Misra will hear the case on August 20.
The bench had, last year, reserved its verdict in the matter and the verdict was pronounced by Justice PS Narasimha.
SC overruled its 2005 judgment of EV Chinnaiah Vs State of Andhra Pradesh.